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Finding the Third Proportional to 211,848 and 296,904

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Solution

The third proportional to 211,848 and 296,904 is: 416,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,848 : 296,904 = 296,904 : x
  2. Step 2: Convert to fraction form
    211,848/296,904 = 296,904/x
  3. Step 3: Cross multiply
    211,848x = 296,904 × 296,904
  4. Step 4: Simplify right side
    211,848x = 88,151,985,216
  5. Step 5: Solve for x
    x = 88,151,985,216/211,848
  6. Step 6: Final answer
    x = 416,109.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.